Consider the directed network G = (V,E) with N = 5 nodes and L = 8 links, in which node 1 points to nodes 2 and 3, node 2 points to node 4, node 3 points to nodes 2 and 4, node 4 points to node 2, and node 5 points to nodes 3 and 4. (g) Calculate the N x N matrix d whose element dij is the length of the shortest paths from node i to node j. Calculate the efficiency centrality r; of each node of the network and rank the nodes, from the most to the least central, according to their efficiency centrality.
Consider the directed network G = (V,E) with N = 5 nodes and L = 8 links, in which node 1 points to nodes 2 and 3, node 2 points to node 4, node 3 points to nodes 2 and 4, node 4 points to node 2, and node 5 points to nodes 3 and 4. (g) Calculate the N x N matrix d whose element dij is the length of the shortest paths from node i to node j. Calculate the efficiency centrality r; of each node of the network and rank the nodes, from the most to the least central, according to their efficiency centrality.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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